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Finding the Third Proportional to 20,552.63 and 30,829.31

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Solution

The third proportional to 20,552.63 and 30,829.31 is: 46,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,552.63 : 30,829.31 = 30,829.31 : x
  2. Step 2: Convert to fraction form
    20,552.63/30,829.31 = 30,829.31/x
  3. Step 3: Cross multiply
    20,552.63x = 30,829.31 × 30,829.31
  4. Step 4: Simplify right side
    20,552.63x = 950,446,509.22
  5. Step 5: Solve for x
    x = 950,446,509.22/20,552.63
  6. Step 6: Final answer
    x = 46,244.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.